All categories

2 years ago

Triangle JKL ~ Triangle PQR What is the value of x? Round your answer to the nearest two decimal places.

Mathematics

2 answers:

sammy [17]2 years ago

7 0

Answer:

lpq

Step-by-step explanation:

attashe74 [19]2 years ago

7 0

Answer:

25.33

Step-by-step explanation:

given triangle PQR ~ triangle JKL

the ratio of the lengths of their sides are the same

i.e

$\frac{KL}{QR} =\frac{JK}{PQ} =\frac{JL}{PR}$

in our case, we are given JL, PR and PQ and we are asked to find JK

hence

JK/PQ = JL/PR (rearranging)

JK = (JL/PR) x PQ

= (28/42) x 38

= 25.33333

= 25.33 (2 dec. pl)

You might be interested in

What is every number in pie? please put all numbers!

Mila [183]

Answer: The number pi is an irrational number

Step-by-step explanation:

Pi is irrational because it will never end and at the same time doesnt have a pattern in which the numbers repeat. Here are some of the numbers in pi 3.14159265359

8 0

3 years ago

According to an article, 47% of adults have experienced a breakup at least once during the last 10 years. Of 9 randomly select

In-s [12.5K]

Answer:

a) $P(X=5)=(9C5)(0.47)^5 (1-0.47)^{9-5}=0.228$

b) $P(X=0)=(9C0)(0.47)^0 (1-0.47)^{9-0}=0.0033$

And replacing we got:

$P(X \geq 1)= 1-P(X$

c) $P(X=4)=(9C4)(0.47)^4 (1-0.47)^{9-4}=0.257$

$P(X=5)=(9C5)(0.47)^5 (1-0.47)^{9-5}=0.228$

$P(X=6)=(9C6)(0.47)^6 (1-0.47)^{9-6}=0.135$

And adding we got:

$P(4 \leq X \leq 6)= 0.257+0.228+0.135=0.620$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=9, p=0.47)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

Assuming the following questions:

a. exactly five

For this case we can use the probability mass function and we got:

$P(X=5)=(9C5)(0.47)^5 (1-0.47)^{9-5}=0.228$

b. at least one

For this case we want this probability:

$P(X \geq 1)$

And we can use the complement rule and we got:

$P(X \geq 1)= 1-P(X$

$P(X=0)=(9C0)(0.47)^0 (1-0.47)^{9-0}=0.0033$

And replacing we got:

$P(X \geq 1)= 1-P(X$

c. between four and six, inclusive.

For this case we want this probability:

$P(4 \leq X \leq 6)$

$P(X=4)=(9C4)(0.47)^4 (1-0.47)^{9-4}=0.257$

$P(X=5)=(9C5)(0.47)^5 (1-0.47)^{9-5}=0.228$

$P(X=6)=(9C6)(0.47)^6 (1-0.47)^{9-6}=0.135$

And adding we got:

$P(4 \leq X \leq 6)= 0.257+0.228+0.135=0.620$

6 0

3 years ago

Jenny makes food for her hummingbird feeders. The food is made up of 1 part sugar and 4 parts water. She uses 3434 cup of sugar

Bond [772]

Okay so every part of sugar requires 4 parts of water

so

3434 cups of sugar x 4 (parts of water per 1 part of sugar) = 13736

She will need to use 13, 736 parts of water for 3, 434 parts of sugar

5 0

3 years ago

Read 2 more answers

Algebra 1B:<br>x/13 + 29 = -36

d1i1m1o1n [39]

Answer:

Solve for x by simplifying both sides of the equation, then isolating the variable.

x=−845

Step-by-step explanation:

3 0

3 years ago

Does increase in sample size increases degrees of freedom for t-tests.

Elena-2011 [213]

Basically degrees of freedom are related to sample size (n-1). If the df increases, it also stands that the sample size is increasing; the graph of the t-distribution will have skinnier tails, pushing the critical value towards the mean.

3 0

2 years ago